3.The following table contains the probability distribution of the number of traffic accidents daily in asmall city:Number of AccidentsDaily (X)013456ProbabilityP(X=x) or p(x)0.100.200.450.150.050.05Find the probability of,(a) number of accidents less than 4;(c) compute mean/expected value and standard deviation(b) number of accidents at most 4; and

From the provided information, The probability distribution table is as follow: Number of…

Answered: 3.The following table contains the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Disc Brake pads has a Normal distribution with a mean µ = 50,000 miles but with some unknown standard deviation σ . In a sample of n =16 pads is tested for their ‘life-times’ yield S = 2500 as the sample estimate σ . What is the probability that the sample average X16 exceeds 49,000 miles, Pr( 49,000)=_________
Let x represent the dollar amount spend on supermarket impulse buying in a 10-minute unplanned shopping interval. The mean of this distribution is µ=$25 and the standard deviation is =$10. If we assume the x distribution is approximately normal: (1) What is the probability that a randomly selected shopper will spend between $18 and $22? (1) Consider a random sample of n = 100 shoppers. What is the probability that is between $18 and $22? (2) State two different ways we know the distribution from part (b) is normally distributed.
Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. Help with the last one
Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =
5. Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean u = 85 and estimated standard deviation a = 25. A test result x< 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test, x < 40? That's find P(x < 40) (b) Suppose a doctor uses the average x fot two tests taken about a week apart. What is the probabilit that ( Hint: Your standard deviation here should be ) P(ĩ < 40)
Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose a = 2.4 and ß = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.) at most 250 less than 250 more than 300 0.74310 0.74310 0.12183 (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) 6032 (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.) hr
24. A study compared union activity of employees in 10 plants during two different decades. The researchers reported “a significant increase in union activity, t ( 9 ) = 3.28 , p < .01. t ( 9 ) = 3.28 , p < .01. ” Explain this result to a person who has never had a course in statistics. Be sure to use sketches of the distributions in your answer.

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